Merge pull request #722 from NicolaiSoeborg/develop

Fixes to grammar.txt [WIP]

3 files changed, 83 insertions, 29 deletions

diff --git a/libsolidity/codegen/LValue.cpp b/libsolidity/codegen/LValue.cpp
index ea8bc1ba..553e5518 100644
--- a/libsolidity/codegen/LValue.cpp
+++ b/libsolidity/codegen/LValue.cpp
@@ -17,7 +17,7 @@
 /**
  * @author Christian <c@ethdev.com>
  * @date 2015
- * LValues for use in the expresison compiler.
+ * LValues for use in the expression compiler.
  */
 
 #include <libsolidity/codegen/LValue.h>
diff --git a/libsolidity/codegen/LValue.h b/libsolidity/codegen/LValue.h
index e8c3aa80..a2f979db 100644
--- a/libsolidity/codegen/LValue.h
+++ b/libsolidity/codegen/LValue.h
@@ -17,7 +17,7 @@
 /**
  * @author Christian <c@ethdev.com>
  * @date 2015
- * LValues for use in the expresison compiler.
+ * LValues for use in the expression compiler.
  */
 
 #pragma once
diff --git a/libsolidity/grammar.txt b/libsolidity/grammar.txt
index 08a74f45..6d92fc59 100644
--- a/libsolidity/grammar.txt
+++ b/libsolidity/grammar.txt
@@ -1,48 +1,102 @@
+SourceUnit = (ImportDirective | ContractDefinition)*
+
 ContractDefinition = ( 'contract' | 'library' ) Identifier
                      ( 'is' InheritanceSpecifier (',' InheritanceSpecifier )* )?
                      '{' ContractPart* '}'
-ContractPart = StateVariableDeclaration | StructDefinition | ModifierDefinition | FunctionDefinition | EnumDefinition
+
+ImportDirective = 'import' StringLiteral ('as' Identifier)? ';'
+        | 'import' ('*' | Identifier) ('as' Identifier)? 'from' StringLiteral ';'
+        | 'import' '{' Identifier ('as' Identifier)? ( ',' Identifier ('as' Identifier)? )* '}' 'from' StringLiteral ';'
+
+ContractPart = StateVariableDeclaration | UsingForDeclaration
+             | StructDefinition | ModifierDefinition | FunctionDefinition | EventDefinition | EnumDefinition
 
 InheritanceSpecifier = Identifier ( '(' Expression ( ',' Expression )* ')' )?
+
+StateVariableDeclaration = TypeName ( 'public' | 'internal' | 'private' )? Identifier ('=' Expression)? ';'
+UsingForDeclaration = 'using' Identifier 'for' ('*' | TypeName) ';'
 StructDefinition = 'struct' Identifier '{'
-                     ( VariableDeclaration (';' VariableDeclaration)* )? '}
-StateVariableDeclaration = TypeName ( 'public' | 'inheritable' | 'private' )? Identifier ';'
+                     ( VariableDeclaration ';' (VariableDeclaration ';')* )? '}'
 ModifierDefinition = 'modifier' Identifier ParameterList? Block
-FunctionDefinition = 'function' Identifier ParameterList
-					 ( Identifier | 'constant' | 'external' | 'public' | 'inheritable' | 'private' )*
+FunctionDefinition = 'function' Identifier? ParameterList
+                     ( FunctionCall | Identifier | 'constant' | 'external' | 'public' | 'internal' | 'private' )*
                      ( 'returns' ParameterList )? Block
+EventDefinition = 'event' Identifier IndexedParameterList 'anonymous'? ';'
 
 EnumValue = Identifier
-EnumDefinition = 'enum' '{' EnumValue (',' EnumValue)* '}'
-ParameterList = '(' ( VariableDeclaration (',' VariableDeclaration)* )? ')'
+EnumDefinition = 'enum' Identifier '{' EnumValue? (',' EnumValue)* '}'
+
+IndexedParameterList = '(' ( TypeName 'indexed'? Identifier? (',' TypeName 'indexed'? Identifier?)* )? ')'
+ParameterList =        '(' ( TypeName            Identifier? (',' TypeName            Identifier?)* )? ')'
+
 // semantic restriction: mappings and structs (recursively) containing mappings
 // are not allowed in argument lists
 VariableDeclaration = TypeName Identifier
-TypeName = ElementaryTypeName | Identifier | Mapping | ArrayTypeName
+TypeName = ElementaryTypeName | Identifier StorageLocation? | Mapping | ArrayTypeName
 Mapping = 'mapping' '(' ElementaryTypeName '=>' TypeName ')'
-ArrayTypeName = TypeName '[' (Expression)? ']'
+ArrayTypeName = TypeName StorageLocation? '[' Expression? ']'
+StorageLocation = 'memory' | 'storage'
 
 Block = '{' Statement* '}'
-Statement = IfStatement | WhileStatement | Block |
-			( Continue | Break | Return | VariableDefinition | ExpressionStatement ) ';'
+Statement = IfStatement | WhileStatement | ForStatement | Block | PlaceholderStatement |
+            ( Continue | Break | Return | Throw | SimpleStatement | ExpressionStatement ) ';'
 
-ExpressionStatement = Expression
+ExpressionStatement = Expression | VariableDefinition
 IfStatement = 'if' '(' Expression ')' Statement ( 'else' Statement )?
 WhileStatement = 'while' '(' Expression ')' Statement
-VardefOrExprStmt = Variabledefinition | ExpressionStatement
-ForStatement = 'for' '(' (VardefOrExprStmt)? ';' (Expression)? ';' (ExpressionStatement)? ')' Statement
-Continue = 'continue' ';'
-Break = 'break' ';'
-Return = 'return' Expression? ';'
-Throw = 'throw' Expression? ';'
-VariableDefinition = VariableDeclaration ( = Expression )? ';'
-
-Expression = Assignment | UnaryOperation | BinaryOperation | FunctionCall | NewExpression | IndexAccess |
-			 MemberAccess | PrimaryExpression
-// The expression syntax is actually much more complicated
-Assignment = Expression (AssignmentOp Expression)
-FunctionCall = Expression '(' Expression ( ',' Expression )* ')'
+PlaceholderStatement = '_'
+SimpleStatement = VariableDefinition | ExpressionStatement
+ForStatement = 'for' '(' (SimpleStatement)? ';' (Expression)? ';' (ExpressionStatement)? ')' Statement
+Continue = 'continue'
+Break = 'break'
+Return = 'return' Expression?
+Throw = 'throw'
+VariableDefinition = VariableDeclaration ( '=' Expression )?
+
+// Precedence by order (see github.com/ethereum/solidity/pull/732)
+Expression =
+  ( Expression ('++' | '--') | FunctionCall | IndexAccess | MemberAccess | '(' Expression ')' )
+  | ('!' | '~' | 'after' | 'delete' | '++' | '--' | '+' | '-') Expression
+  | Expression '**' Expression
+  | Expression ('*' | '/' | '%') Expression
+  | Expression ('+' | '-') Expression
+  | Expression ('<<' | '>>' | '>>>')
+  | Expression '&' Expression
+  | Expression '^' Expression
+  | Expression '|' Expression
+  | Expression ('<' | '>' | '<=' | '>=') Expression
+  | Expression ('==' | '!=') Expression
+  | Expression '&&' Expression
+  | Expression '||' Expression
+  | Expression '?' Expression ':' Expression
+  | Expression ('=' | '|=' | '^=' | '&=' | '<<=' | '>>=' | '+=' | '-=' | '*=' | '/=' | '%=') Expression
+  | Expression? (',' Expression)
+  | PrimaryExpression
+
+PrimaryExpression = Identifier | BooleanLiteral | NumberLiteral | StringLiteral
+
+FunctionCall = Identifier '(' Expression? ( ',' Expression )* ')'
 NewExpression = 'new' Identifier
 MemberAccess = Expression '.' Identifier
-IndexAccess = Expression '[' (Expresison)? ']'
-PrimaryExpression = Identifier | NumberLiteral | StringLiteral | ElementaryTypeName | '(' Expression ')'
+IndexAccess = Expression '[' Expression? ']'
+
+BooleanLiteral = 'true' | 'false'
+NumberLiteral = '0x'? [0-9]+ (' ' NumberUnit)?
+NumberUnit = 'wei' | 'szabo' | 'finney' | 'ether'
+           | 'seconds' | 'minutes' | 'hours' | 'days' | 'weeks' | 'years'
+StringLiteral = '"' ([^"\r\n\\] | '\\' .)* '"'
+
+Identifier = [a-zA-Z_] [a-zA-Z_0-9]*
+
+ElementaryTypeName = 'address' | 'bool' | 'string' | 'var'
+                   | Int | Uint | Byte | Fixed | Ufixed
+
+Int = 'int' | 'int8' | 'int16' | 'int24' | 'int32' | 'int40' | 'int48' | 'int56' | 'int64' | 'int72' | 'int80' | 'int88' | 'int96' | 'int104' | 'int112' | 'int120' | 'int128' | 'int136' | 'int144' | 'int152' | 'int160' | 'int168' | 'int176' | 'int184' | 'int192' | 'int200' | 'int208' | 'int216' | 'int224' | 'int232' | 'int240' | 'int248' | 'int256'
+
+Uint = 'uint' | 'uint8' | 'uint16' | 'uint24' | 'uint32' | 'uint40' | 'uint48' | 'uint56' | 'uint64' | 'uint72' | 'uint80' | 'uint88' | 'uint96' | 'uint104' | 'uint112' | 'uint120' | 'uint128' | 'uint136' | 'uint144' | 'uint152' | 'uint160' | 'uint168' | 'uint176' | 'uint184' | 'uint192' | 'uint200' | 'uint208' | 'uint216' | 'uint224' | 'uint232' | 'uint240' | 'uint248' | 'uint256'
+
+Byte = 'byte' | 'bytes' | 'bytes1' | 'bytes2' | 'bytes3' | 'bytes4' | 'bytes5' | 'bytes6' | 'bytes7' | 'bytes8' | 'bytes9' | 'bytes10' | 'bytes11' | 'bytes12' | 'bytes13' | 'bytes14' | 'bytes15' | 'bytes16' | 'bytes17' | 'bytes18' | 'bytes19' | 'bytes20' | 'bytes21' | 'bytes22' | 'bytes23' | 'bytes24' | 'bytes25' | 'bytes26' | 'bytes27' | 'bytes28' | 'bytes29' | 'bytes30' | 'bytes31' | 'bytes32'
+
+Fixed = 'fixed' | 'fixed0x8' | 'fixed0x16' | 'fixed0x24' | 'fixed0x32' | 'fixed0x40' | 'fixed0x48' | 'fixed0x56' | 'fixed0x64' | 'fixed0x72' | 'fixed0x80' | 'fixed0x88' | 'fixed0x96' | 'fixed0x104' | 'fixed0x112' | 'fixed0x120' | 'fixed0x128' | 'fixed0x136' | 'fixed0x144' | 'fixed0x152' | 'fixed0x160' | 'fixed0x168' | 'fixed0x176' | 'fixed0x184' | 'fixed0x192' | 'fixed0x200' | 'fixed0x208' | 'fixed0x216' | 'fixed0x224' | 'fixed0x232' | 'fixed0x240' | 'fixed0x248' | 'fixed0x256' | 'fixed8x8' | 'fixed8x16' | 'fixed8x24' | 'fixed8x32' | 'fixed8x40' | 'fixed8x48' | 'fixed8x56' | 'fixed8x64' | 'fixed8x72' | 'fixed8x80' | 'fixed8x88' | 'fixed8x96' | 'fixed8x104' | 'fixed8x112' | 'fixed8x120' | 'fixed8x128' | 'fixed8x136' | 'fixed8x144' | 'fixed8x152' | 'fixed8x160' | 'fixed8x168' | 'fixed8x176' | 'fixed8x184' | 'fixed8x192' | 'fixed8x200' | 'fixed8x208' | 'fixed8x216' | 'fixed8x224' | 'fixed8x232' | 'fixed8x240' | 'fixed8x248' | 'fixed16x8' | 'fixed16x16' | 'fixed16x24' | 'fixed16x32' | 'fixed16x40' | 'fixed16x48' | 'fixed16x56' | 'fixed16x64' | 'fixed16x72' | 'fixed16x80' | 'fixed16x88' | 'fixed16x96' | 'fixed16x104' | 'fixed16x112' | 'fixed16x120' | 'fixed16x128' | 'fixed16x136' | 'fixed16x144' | 'fixed16x152' | 'fixed16x160' | 'fixed16x168' | 'fixed16x176' | 'fixed16x184' | 'fixed16x192' | 'fixed16x200' | 'fixed16x208' | 'fixed16x216' | 'fixed16x224' | 'fixed16x232' | 'fixed16x240' | 'fixed24x8' | 'fixed24x16' | 'fixed24x24' | 'fixed24x32' | 'fixed24x40' | 'fixed24x48' | 'fixed24x56' | 'fixed24x64' | 'fixed24x72' | 'fixed24x80' | 'fixed24x88' | 'fixed24x96' | 'fixed24x104' | 'fixed24x112' | 'fixed24x120' | 'fixed24x128' | 'fixed24x136' | 'fixed24x144' | 'fixed24x152' | 'fixed24x160' | 'fixed24x168' | 'fixed24x176' | 'fixed24x184' | 'fixed24x192' | 'fixed24x200' | 'fixed24x208' | 'fixed24x216' | 'fixed24x224' | 'fixed24x232' | 'fixed32x8' | 'fixed32x16' | 'fixed32x24' | 'fixed32x32' | 'fixed32x40' | 'fixed32x48' | 'fixed32x56' | 'fixed32x64' | 'fixed32x72' | 'fixed32x80' | 'fixed32x88' | 'fixed32x96' | 'fixed32x104' | 'fixed32x112' | 'fixed32x120' | 'fixed32x128' | 'fixed32x136' | 'fixed32x144' | 'fixed32x152' | 'fixed32x160' | 'fixed32x168' | 'fixed32x176' | 'fixed32x184' | 'fixed32x192' | 'fixed32x200' | 'fixed32x208' | 'fixed32x216' | 'fixed32x224' | 'fixed40x8' | 'fixed40x16' | 'fixed40x24' | 'fixed40x32' | 'fixed40x40' | 'fixed40x48' | 'fixed40x56' | 'fixed40x64' | 'fixed40x72' | 'fixed40x80' | 'fixed40x88' | 'fixed40x96' | 'fixed40x104' | 'fixed40x112' | 'fixed40x120' | 'fixed40x128' | 'fixed40x136' | 'fixed40x144' | 'fixed40x152' | 'fixed40x160' | 'fixed40x168' | 'fixed40x176' | 'fixed40x184' | 'fixed40x192' | 'fixed40x200' | 'fixed40x208' | 'fixed40x216' | 'fixed48x8' | 'fixed48x16' | 'fixed48x24' | 'fixed48x32' | 'fixed48x40' | 'fixed48x48' | 'fixed48x56' | 'fixed48x64' | 'fixed48x72' | 'fixed48x80' | 'fixed48x88' | 'fixed48x96' | 'fixed48x104' | 'fixed48x112' | 'fixed48x120' | 'fixed48x128' | 'fixed48x136' | 'fixed48x144' | 'fixed48x152' | 'fixed48x160' | 'fixed48x168' | 'fixed48x176' | 'fixed48x184' | 'fixed48x192' | 'fixed48x200' | 'fixed48x208' | 'fixed56x8' | 'fixed56x16' | 'fixed56x24' | 'fixed56x32' | 'fixed56x40' | 'fixed56x48' | 'fixed56x56' | 'fixed56x64' | 'fixed56x72' | 'fixed56x80' | 'fixed56x88' | 'fixed56x96' | 'fixed56x104' | 'fixed56x112' | 'fixed56x120' | 'fixed56x128' | 'fixed56x136' | 'fixed56x144' | 'fixed56x152' | 'fixed56x160' | 'fixed56x168' | 'fixed56x176' | 'fixed56x184' | 'fixed56x192' | 'fixed56x200' | 'fixed64x8' | 'fixed64x16' | 'fixed64x24' | 'fixed64x32' | 'fixed64x40' | 'fixed64x48' | 'fixed64x56' | 'fixed64x64' | 'fixed64x72' | 'fixed64x80' | 'fixed64x88' | 'fixed64x96' | 'fixed64x104' | 'fixed64x112' | 'fixed64x120' | 'fixed64x128' | 'fixed64x136' | 'fixed64x144' | 'fixed64x152' | 'fixed64x160' | 'fixed64x168' | 'fixed64x176' | 'fixed64x184' | 'fixed64x192' | 'fixed72x8' | 'fixed72x16' | 'fixed72x24' | 'fixed72x32' | 'fixed72x40' | 'fixed72x48' | 'fixed72x56' | 'fixed72x64' | 'fixed72x72' | 'fixed72x80' | 'fixed72x88' | 'fixed72x96' | 'fixed72x104' | 'fixed72x112' | 'fixed72x120' | 'fixed72x128' | 'fixed72x136' | 'fixed72x144' | 'fixed72x152' | 'fixed72x160' | 'fixed72x168' | 'fixed72x176' | 'fixed72x184' | 'fixed80x8' | 'fixed80x16' | 'fixed80x24' | 'fixed80x32' | 'fixed80x40' | 'fixed80x48' | 'fixed80x56' | 'fixed80x64' | 'fixed80x72' | 'fixed80x80' | 'fixed80x88' | 'fixed80x96' | 'fixed80x104' | 'fixed80x112' | 'fixed80x120' | 'fixed80x128' | 'fixed80x136' | 'fixed80x144' | 'fixed80x152' | 'fixed80x160' | 'fixed80x168' | 'fixed80x176' | 'fixed88x8' | 'fixed88x16' | 'fixed88x24' | 'fixed88x32' | 'fixed88x40' | 'fixed88x48' | 'fixed88x56' | 'fixed88x64' | 'fixed88x72' | 'fixed88x80' | 'fixed88x88' | 'fixed88x96' | 'fixed88x104' | 'fixed88x112' | 'fixed88x120' | 'fixed88x128' | 'fixed88x136' | 'fixed88x144' | 'fixed88x152' | 'fixed88x160' | 'fixed88x168' | 'fixed96x8' | 'fixed96x16' | 'fixed96x24' | 'fixed96x32' | 'fixed96x40' | 'fixed96x48' | 'fixed96x56' | 'fixed96x64' | 'fixed96x72' | 'fixed96x80' | 'fixed96x88' | 'fixed96x96' | 'fixed96x104' | 'fixed96x112' | 'fixed96x120' | 'fixed96x128' | 'fixed96x136' | 'fixed96x144' | 'fixed96x152' | 'fixed96x160' | 'fixed104x8' | 'fixed104x16' | 'fixed104x24' | 'fixed104x32' | 'fixed104x40' | 'fixed104x48' | 'fixed104x56' | 'fixed104x64' | 'fixed104x72' | 'fixed104x80' | 'fixed104x88' | 'fixed104x96' | 'fixed104x104' | 'fixed104x112' | 'fixed104x120' | 'fixed104x128' | 'fixed104x136' | 'fixed104x144' | 'fixed104x152' | 'fixed112x8' | 'fixed112x16' | 'fixed112x24' | 'fixed112x32' | 'fixed112x40' | 'fixed112x48' | 'fixed112x56' | 'fixed112x64' | 'fixed112x72' | 'fixed112x80' | 'fixed112x88' | 'fixed112x96' | 'fixed112x104' | 'fixed112x112' | 'fixed112x120' | 'fixed112x128' | 'fixed112x136' | 'fixed112x144' | 'fixed120x8' | 'fixed120x16' | 'fixed120x24' | 'fixed120x32' | 'fixed120x40' | 'fixed120x48' | 'fixed120x56' | 'fixed120x64' | 'fixed120x72' | 'fixed120x80' | 'fixed120x88' | 'fixed120x96' | 'fixed120x104' | 'fixed120x112' | 'fixed120x120' | 'fixed120x128' | 'fixed120x136' | 'fixed128x8' | 'fixed128x16' | 'fixed128x24' | 'fixed128x32' | 'fixed128x40' | 'fixed128x48' | 'fixed128x56' | 'fixed128x64' | 'fixed128x72' | 'fixed128x80' | 'fixed128x88' | 'fixed128x96' | 'fixed128x104' | 'fixed128x112' | 'fixed128x120' | 'fixed128x128' | 'fixed136x8' | 'fixed136x16' | 'fixed136x24' | 'fixed136x32' | 'fixed136x40' | 'fixed136x48' | 'fixed136x56' | 'fixed136x64' | 'fixed136x72' | 'fixed136x80' | 'fixed136x88' | 'fixed136x96' | 'fixed136x104' | 'fixed136x112' | 'fixed136x120' | 'fixed144x8' | 'fixed144x16' | 'fixed144x24' | 'fixed144x32' | 'fixed144x40' | 'fixed144x48' | 'fixed144x56' | 'fixed144x64' | 'fixed144x72' | 'fixed144x80' | 'fixed144x88' | 'fixed144x96' | 'fixed144x104' | 'fixed144x112' | 'fixed152x8' | 'fixed152x16' | 'fixed152x24' | 'fixed152x32' | 'fixed152x40' | 'fixed152x48' | 'fixed152x56' | 'fixed152x64' | 'fixed152x72' | 'fixed152x80' | 'fixed152x88' | 'fixed152x96' | 'fixed152x104' | 'fixed160x8' | 'fixed160x16' | 'fixed160x24' | 'fixed160x32' | 'fixed160x40' | 'fixed160x48' | 'fixed160x56' | 'fixed160x64' | 'fixed160x72' | 'fixed160x80' | 'fixed160x88' | 'fixed160x96' | 'fixed168x8' | 'fixed168x16' | 'fixed168x24' | 'fixed168x32' | 'fixed168x40' | 'fixed168x48' | 'fixed168x56' | 'fixed168x64' | 'fixed168x72' | 'fixed168x80' | 'fixed168x88' | 'fixed176x8' | 'fixed176x16' | 'fixed176x24' | 'fixed176x32' | 'fixed176x40' | 'fixed176x48' | 'fixed176x56' | 'fixed176x64' | 'fixed176x72' | 'fixed176x80' | 'fixed184x8' | 'fixed184x16' | 'fixed184x24' | 'fixed184x32' | 'fixed184x40' | 'fixed184x48' | 'fixed184x56' | 'fixed184x64' | 'fixed184x72' | 'fixed192x8' | 'fixed192x16' | 'fixed192x24' | 'fixed192x32' | 'fixed192x40' | 'fixed192x48' | 'fixed192x56' | 'fixed192x64' | 'fixed200x8' | 'fixed200x16' | 'fixed200x24' | 'fixed200x32' | 'fixed200x40' | 'fixed200x48' | 'fixed200x56' | 'fixed208x8' | 'fixed208x16' | 'fixed208x24' | 'fixed208x32' | 'fixed208x40' | 'fixed208x48' | 'fixed216x8' | 'fixed216x16' | 'fixed216x24' | 'fixed216x32' | 'fixed216x40' | 'fixed224x8' | 'fixed224x16' | 'fixed224x24' | 'fixed224x32' | 'fixed232x8' | 'fixed232x16' | 'fixed232x24' | 'fixed240x8' | 'fixed240x16' | 'fixed248x8'
+
+Ufixed = 'ufixed' | 'ufixed0x8' | 'ufixed0x16' | 'ufixed0x24' | 'ufixed0x32' | 'ufixed0x40' | 'ufixed0x48' | 'ufixed0x56' | 'ufixed0x64' | 'ufixed0x72' | 'ufixed0x80' | 'ufixed0x88' | 'ufixed0x96' | 'ufixed0x104' | 'ufixed0x112' | 'ufixed0x120' | 'ufixed0x128' | 'ufixed0x136' | 'ufixed0x144' | 'ufixed0x152' | 'ufixed0x160' | 'ufixed0x168' | 'ufixed0x176' | 'ufixed0x184' | 'ufixed0x192' | 'ufixed0x200' | 'ufixed0x208' | 'ufixed0x216' | 'ufixed0x224' | 'ufixed0x232' | 'ufixed0x240' | 'ufixed0x248' | 'ufixed0x256' | 'ufixed8x8' | 'ufixed8x16' | 'ufixed8x24' | 'ufixed8x32' | 'ufixed8x40' | 'ufixed8x48' | 'ufixed8x56' | 'ufixed8x64' | 'ufixed8x72' | 'ufixed8x80' | 'ufixed8x88' | 'ufixed8x96' | 'ufixed8x104' | 'ufixed8x112' | 'ufixed8x120' | 'ufixed8x128' | 'ufixed8x136' | 'ufixed8x144' | 'ufixed8x152' | 'ufixed8x160' | 'ufixed8x168' | 'ufixed8x176' | 'ufixed8x184' | 'ufixed8x192' | 'ufixed8x200' | 'ufixed8x208' | 'ufixed8x216' | 'ufixed8x224' | 'ufixed8x232' | 'ufixed8x240' | 'ufixed8x248' | 'ufixed16x8' | 'ufixed16x16' | 'ufixed16x24' | 'ufixed16x32' | 'ufixed16x40' | 'ufixed16x48' | 'ufixed16x56' | 'ufixed16x64' | 'ufixed16x72' | 'ufixed16x80' | 'ufixed16x88' | 'ufixed16x96' | 'ufixed16x104' | 'ufixed16x112' | 'ufixed16x120' | 'ufixed16x128' | 'ufixed16x136' | 'ufixed16x144' | 'ufixed16x152' | 'ufixed16x160' | 'ufixed16x168' | 'ufixed16x176' | 'ufixed16x184' | 'ufixed16x192' | 'ufixed16x200' | 'ufixed16x208' | 'ufixed16x216' | 'ufixed16x224' | 'ufixed16x232' | 'ufixed16x240' | 'ufixed24x8' | 'ufixed24x16' | 'ufixed24x24' | 'ufixed24x32' | 'ufixed24x40' | 'ufixed24x48' | 'ufixed24x56' | 'ufixed24x64' | 'ufixed24x72' | 'ufixed24x80' | 'ufixed24x88' | 'ufixed24x96' | 'ufixed24x104' | 'ufixed24x112' | 'ufixed24x120' | 'ufixed24x128' | 'ufixed24x136' | 'ufixed24x144' | 'ufixed24x152' | 'ufixed24x160' | 'ufixed24x168' | 'ufixed24x176' | 'ufixed24x184' | 'ufixed24x192' | 'ufixed24x200' | 'ufixed24x208' | 'ufixed24x216' | 'ufixed24x224' | 'ufixed24x232' | 'ufixed32x8' | 'ufixed32x16' | 'ufixed32x24' | 'ufixed32x32' | 'ufixed32x40' | 'ufixed32x48' | 'ufixed32x56' | 'ufixed32x64' | 'ufixed32x72' | 'ufixed32x80' | 'ufixed32x88' | 'ufixed32x96' | 'ufixed32x104' | 'ufixed32x112' | 'ufixed32x120' | 'ufixed32x128' | 'ufixed32x136' | 'ufixed32x144' | 'ufixed32x152' | 'ufixed32x160' | 'ufixed32x168' | 'ufixed32x176' | 'ufixed32x184' | 'ufixed32x192' | 'ufixed32x200' | 'ufixed32x208' | 'ufixed32x216' | 'ufixed32x224' | 'ufixed40x8' | 'ufixed40x16' | 'ufixed40x24' | 'ufixed40x32' | 'ufixed40x40' | 'ufixed40x48' | 'ufixed40x56' | 'ufixed40x64' | 'ufixed40x72' | 'ufixed40x80' | 'ufixed40x88' | 'ufixed40x96' | 'ufixed40x104' | 'ufixed40x112' | 'ufixed40x120' | 'ufixed40x128' | 'ufixed40x136' | 'ufixed40x144' | 'ufixed40x152' | 'ufixed40x160' | 'ufixed40x168' | 'ufixed40x176' | 'ufixed40x184' | 'ufixed40x192' | 'ufixed40x200' | 'ufixed40x208' | 'ufixed40x216' | 'ufixed48x8' | 'ufixed48x16' | 'ufixed48x24' | 'ufixed48x32' | 'ufixed48x40' | 'ufixed48x48' | 'ufixed48x56' | 'ufixed48x64' | 'ufixed48x72' | 'ufixed48x80' | 'ufixed48x88' | 'ufixed48x96' | 'ufixed48x104' | 'ufixed48x112' | 'ufixed48x120' | 'ufixed48x128' | 'ufixed48x136' | 'ufixed48x144' | 'ufixed48x152' | 'ufixed48x160' | 'ufixed48x168' | 'ufixed48x176' | 'ufixed48x184' | 'ufixed48x192' | 'ufixed48x200' | 'ufixed48x208' | 'ufixed56x8' | 'ufixed56x16' | 'ufixed56x24' | 'ufixed56x32' | 'ufixed56x40' | 'ufixed56x48' | 'ufixed56x56' | 'ufixed56x64' | 'ufixed56x72' | 'ufixed56x80' | 'ufixed56x88' | 'ufixed56x96' | 'ufixed56x104' | 'ufixed56x112' | 'ufixed56x120' | 'ufixed56x128' | 'ufixed56x136' | 'ufixed56x144' | 'ufixed56x152' | 'ufixed56x160' | 'ufixed56x168' | 'ufixed56x176' | 'ufixed56x184' | 'ufixed56x192' | 'ufixed56x200' | 'ufixed64x8' | 'ufixed64x16' | 'ufixed64x24' | 'ufixed64x32' | 'ufixed64x40' | 'ufixed64x48' | 'ufixed64x56' | 'ufixed64x64' | 'ufixed64x72' | 'ufixed64x80' | 'ufixed64x88' | 'ufixed64x96' | 'ufixed64x104' | 'ufixed64x112' | 'ufixed64x120' | 'ufixed64x128' | 'ufixed64x136' | 'ufixed64x144' | 'ufixed64x152' | 'ufixed64x160' | 'ufixed64x168' | 'ufixed64x176' | 'ufixed64x184' | 'ufixed64x192' | 'ufixed72x8' | 'ufixed72x16' | 'ufixed72x24' | 'ufixed72x32' | 'ufixed72x40' | 'ufixed72x48' | 'ufixed72x56' | 'ufixed72x64' | 'ufixed72x72' | 'ufixed72x80' | 'ufixed72x88' | 'ufixed72x96' | 'ufixed72x104' | 'ufixed72x112' | 'ufixed72x120' | 'ufixed72x128' | 'ufixed72x136' | 'ufixed72x144' | 'ufixed72x152' | 'ufixed72x160' | 'ufixed72x168' | 'ufixed72x176' | 'ufixed72x184' | 'ufixed80x8' | 'ufixed80x16' | 'ufixed80x24' | 'ufixed80x32' | 'ufixed80x40' | 'ufixed80x48' | 'ufixed80x56' | 'ufixed80x64' | 'ufixed80x72' | 'ufixed80x80' | 'ufixed80x88' | 'ufixed80x96' | 'ufixed80x104' | 'ufixed80x112' | 'ufixed80x120' | 'ufixed80x128' | 'ufixed80x136' | 'ufixed80x144' | 'ufixed80x152' | 'ufixed80x160' | 'ufixed80x168' | 'ufixed80x176' | 'ufixed88x8' | 'ufixed88x16' | 'ufixed88x24' | 'ufixed88x32' | 'ufixed88x40' | 'ufixed88x48' | 'ufixed88x56' | 'ufixed88x64' | 'ufixed88x72' | 'ufixed88x80' | 'ufixed88x88' | 'ufixed88x96' | 'ufixed88x104' | 'ufixed88x112' | 'ufixed88x120' | 'ufixed88x128' | 'ufixed88x136' | 'ufixed88x144' | 'ufixed88x152' | 'ufixed88x160' | 'ufixed88x168' | 'ufixed96x8' | 'ufixed96x16' | 'ufixed96x24' | 'ufixed96x32' | 'ufixed96x40' | 'ufixed96x48' | 'ufixed96x56' | 'ufixed96x64' | 'ufixed96x72' | 'ufixed96x80' | 'ufixed96x88' | 'ufixed96x96' | 'ufixed96x104' | 'ufixed96x112' | 'ufixed96x120' | 'ufixed96x128' | 'ufixed96x136' | 'ufixed96x144' | 'ufixed96x152' | 'ufixed96x160' | 'ufixed104x8' | 'ufixed104x16' | 'ufixed104x24' | 'ufixed104x32' | 'ufixed104x40' | 'ufixed104x48' | 'ufixed104x56' | 'ufixed104x64' | 'ufixed104x72' | 'ufixed104x80' | 'ufixed104x88' | 'ufixed104x96' | 'ufixed104x104' | 'ufixed104x112' | 'ufixed104x120' | 'ufixed104x128' | 'ufixed104x136' | 'ufixed104x144' | 'ufixed104x152' | 'ufixed112x8' | 'ufixed112x16' | 'ufixed112x24' | 'ufixed112x32' | 'ufixed112x40' | 'ufixed112x48' | 'ufixed112x56' | 'ufixed112x64' | 'ufixed112x72' | 'ufixed112x80' | 'ufixed112x88' | 'ufixed112x96' | 'ufixed112x104' | 'ufixed112x112' | 'ufixed112x120' | 'ufixed112x128' | 'ufixed112x136' | 'ufixed112x144' | 'ufixed120x8' | 'ufixed120x16' | 'ufixed120x24' | 'ufixed120x32' | 'ufixed120x40' | 'ufixed120x48' | 'ufixed120x56' | 'ufixed120x64' | 'ufixed120x72' | 'ufixed120x80' | 'ufixed120x88' | 'ufixed120x96' | 'ufixed120x104' | 'ufixed120x112' | 'ufixed120x120' | 'ufixed120x128' | 'ufixed120x136' | 'ufixed128x8' | 'ufixed128x16' | 'ufixed128x24' | 'ufixed128x32' | 'ufixed128x40' | 'ufixed128x48' | 'ufixed128x56' | 'ufixed128x64' | 'ufixed128x72' | 'ufixed128x80' | 'ufixed128x88' | 'ufixed128x96' | 'ufixed128x104' | 'ufixed128x112' | 'ufixed128x120' | 'ufixed128x128' | 'ufixed136x8' | 'ufixed136x16' | 'ufixed136x24' | 'ufixed136x32' | 'ufixed136x40' | 'ufixed136x48' | 'ufixed136x56' | 'ufixed136x64' | 'ufixed136x72' | 'ufixed136x80' | 'ufixed136x88' | 'ufixed136x96' | 'ufixed136x104' | 'ufixed136x112' | 'ufixed136x120' | 'ufixed144x8' | 'ufixed144x16' | 'ufixed144x24' | 'ufixed144x32' | 'ufixed144x40' | 'ufixed144x48' | 'ufixed144x56' | 'ufixed144x64' | 'ufixed144x72' | 'ufixed144x80' | 'ufixed144x88' | 'ufixed144x96' | 'ufixed144x104' | 'ufixed144x112' | 'ufixed152x8' | 'ufixed152x16' | 'ufixed152x24' | 'ufixed152x32' | 'ufixed152x40' | 'ufixed152x48' | 'ufixed152x56' | 'ufixed152x64' | 'ufixed152x72' | 'ufixed152x80' | 'ufixed152x88' | 'ufixed152x96' | 'ufixed152x104' | 'ufixed160x8' | 'ufixed160x16' | 'ufixed160x24' | 'ufixed160x32' | 'ufixed160x40' | 'ufixed160x48' | 'ufixed160x56' | 'ufixed160x64' | 'ufixed160x72' | 'ufixed160x80' | 'ufixed160x88' | 'ufixed160x96' | 'ufixed168x8' | 'ufixed168x16' | 'ufixed168x24' | 'ufixed168x32' | 'ufixed168x40' | 'ufixed168x48' | 'ufixed168x56' | 'ufixed168x64' | 'ufixed168x72' | 'ufixed168x80' | 'ufixed168x88' | 'ufixed176x8' | 'ufixed176x16' | 'ufixed176x24' | 'ufixed176x32' | 'ufixed176x40' | 'ufixed176x48' | 'ufixed176x56' | 'ufixed176x64' | 'ufixed176x72' | 'ufixed176x80' | 'ufixed184x8' | 'ufixed184x16' | 'ufixed184x24' | 'ufixed184x32' | 'ufixed184x40' | 'ufixed184x48' | 'ufixed184x56' | 'ufixed184x64' | 'ufixed184x72' | 'ufixed192x8' | 'ufixed192x16' | 'ufixed192x24' | 'ufixed192x32' | 'ufixed192x40' | 'ufixed192x48' | 'ufixed192x56' | 'ufixed192x64' | 'ufixed200x8' | 'ufixed200x16' | 'ufixed200x24' | 'ufixed200x32' | 'ufixed200x40' | 'ufixed200x48' | 'ufixed200x56' | 'ufixed208x8' | 'ufixed208x16' | 'ufixed208x24' | 'ufixed208x32' | 'ufixed208x40' | 'ufixed208x48' | 'ufixed216x8' | 'ufixed216x16' | 'ufixed216x24' | 'ufixed216x32' | 'ufixed216x40' | 'ufixed224x8' | 'ufixed224x16' | 'ufixed224x24' | 'ufixed224x32' | 'ufixed232x8' | 'ufixed232x16' | 'ufixed232x24' | 'ufixed240x8' | 'ufixed240x16' | 'ufixed248x8'